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Finding the Fourth Proportional to 17,032.38, 23,504.49 and 9,478.68

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Solution

The fourth proportional to 17,032.38, 23,504.49 and 9,478.68 is: 13,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.38 : 23,504.49 = 9,478.68 : x
  2. Step 2: Convert to fraction form
    17,032.38/23,504.49 = 9,478.68/x
  3. Step 3: Cross multiply
    17,032.38x = 23,504.49 × 9,478.68
  4. Step 4: Simplify right side
    17,032.38x = 222,791,539.27
  5. Step 5: Solve for x
    x = 222,791,539.27/17,032.38
  6. Step 6: Final answer
    x = 13,080.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.